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mihalych1998 [28]
3 years ago
13

A road crew must repave a road that is 3/8 miles long. They can repave 1/48 miles each hour. How long will it take the crew to r

epave the road. (PLEASE HELP THIS IS DUE IN 10 MINS
Mathematics
1 answer:
kodGreya [7K]3 years ago
3 0

Answer:

18 hours

Step-by-step explanation:

The answer is 18 hours. We know 8 is a factor of 48, so we do 3/8 times 6/6 and get 18/48. So there is 18 1/48 in that fraction, so it will take them 18 hrs.

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Find T, N, and B for the curve at the indicated point. [HINT: After finding T', plug in the specific value for t before computin
lyudmila [28]

Answer:

Step-by-step explanation:

Given that

r(t) = (t,t,e^t)

To find tangent, normal and binormal vectors at (0,0,1)

i) Tangent vector

r'(t) = (1,1,e^t)\\

At the particular point, r'(t) = (1,1,e)

Tangent vector = \frac{r'(t)}{||r'(t)||} \\=\frac{(1,1,e)}{\sqrt{1+1+e^2} } \\=\frac{(1,1,e)}{\sqrt{2+e^2} }

ii) Normal vector

T'(t) = (0,0,e^t)\\

At that point T'(t) = (0,0,e)/e = (0,0,1)

iii) Binormal

B(t) = TX N

= \left[\begin{array}{ccc}i&j&k\\1&1&e^t\\0&0&e^t\end{array}\right] \\= e^t(i-j)

8 0
4 years ago
1. Write an equation in slope-intercept form of the line with the given slope and point: slope = 3 and (1, -2).
Lunna [17]
1.  The linear equation:
y = m x + b
m = 3
- 2 = 3 · 1 + b
- 2 = 3 + b
b = - 5
Answer: A ) y = 3 x - 5
2.  We will solve the system of equations:
12 = - 4 m + b  /  · ( - 1 )
23 =  7 m  +  b
----------------------
- 12 = 4 m - b
+
 23 =  7 m + b
--------------------
11 = 11 m,         m = 1,     b = 16
Answer:  A ) y = x + 16        
3 0
3 years ago
Determine whether the following statement is true or false.
fenix001 [56]

Answer:

Step-by-step explanation:

No it doesn't. When you get stuck on a question like this one, you should go to Desmos and graph the equation. I've done that for you.

Correctly stated the equation should read f(x) = (x + 2)^2 + 4

As you can see from the graph the vertex is at -2,4. To find the x value of the vertex, create a small equation

x + 2 = 0

x = - 2

That will turn what is inside the brackets into 0. The value for x is always what will turn (x + a) to zero.

3 0
3 years ago
15. JAGUARUNDI A jaguarundi springs from a fence post to swat at a low flying bird.
sukhopar [10]

Answer:

The discriminant, -14.71 < 0, shows that there is no solution of the equation, h = -16·t² + 22.3·t + 2, at the line 'h = 10' feet, therefore, the Jaguarundi height as she springs will not be up to 10 feet and therefore she will not reach the bird

Step-by-step explanation:

From the question, the equation that models the Jaguarundi's height, 'h', ma be written approximately as follows;

h = -16·t² + 22.3·t + 2

Where;

t = The time (duration) in seconds

The discriminant of the equation a·x² + b·x + c = 0 is  b² - 4·a·c

When h = 10, we have;

10 = -16·t² + 22.3·t + 2

∴ 0 = -16·t² + 22.3·t + 2 - 10 = -16·t² + 22.3·t - 8

The discriminant of the given quadratic equation is given as follows;

The discriminant = 22.3² - 4 × (-16 × (-8)) = -14.71 < 0

Therefore, the function, h = -16·t² + 22.3·t + 2 has no real root at h = 10

The parabola does not reach or pass through the line h = 10 which is the height at which the bird is flying.

The Jaguarundi will not reach the bird flying at the height of 10 feet.

7 0
3 years ago
Read 2 more answers
Combine the like terms to create an equivalent expression 3y+6-y
FinnZ [79.3K]

Answer: 3y-y+6=2y+6

Step-by-step explanation:

3y-y =2y and that leaves only 6 to add on . And your answer is 2y+6

6 0
4 years ago
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